The classification of purely non-symplectic automorphisms of high order on K3 surfaces

Abstract

An automorphism of order $n$ of a K3 surface is called purely non-symplectic if it multiplies the holomorphic symplectic form by a primitive $n$-th root of unity. We give the classification of purely non-symplectic automorphisms with $\phi (n)\ge 12$ where $\phi$ denotes the Euler totient function.

v5: Added a missing case of order 26 to Table 3. Removed Corollary 1.3 because it is false

References in corpus (1)

• A non-symplectic automorphism of order 21 of a K3 surface

Cited by in corpus (1)

• On ${\mu }_n$-actions on K3 surfaces in positive characteristic